12(x+1)=3(rx+8)-12

Solution for 12(x+1)=3(rx+8)-12 equation:

Simplifying
12(x + 1) = 3(rx + 8) + -12

Reorder the terms:
12(1 + x) = 3(rx + 8) + -12
(1 * 12 + x * 12) = 3(rx + 8) + -12
(12 + 12x) = 3(rx + 8) + -12

Reorder the terms:
12 + 12x = 3(8 + rx) + -12
12 + 12x = (8 * 3 + rx * 3) + -12
12 + 12x = (24 + 3rx) + -12

Reorder the terms:
12 + 12x = 24 + -12 + 3rx

Combine like terms: 24 + -12 = 12
12 + 12x = 12 + 3rx

Add '-12' to each side of the equation.
12 + -12 + 12x = 12 + -12 + 3rx

Combine like terms: 12 + -12 = 0
0 + 12x = 12 + -12 + 3rx
12x = 12 + -12 + 3rx

Combine like terms: 12 + -12 = 0
12x = 0 + 3rx
12x = 3rx

Solving
12x = 3rx

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3rx' to each side of the equation.
-3rx + 12x = 3rx + -3rx

Combine like terms: 3rx + -3rx = 0
-3rx + 12x = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-1r + 4) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0
Subproblem 2
Set the factor '(-1r + 4)' equal to zero and attempt to solve:

Simplifying
-1r + 4 = 0

Reorder the terms:
4 + -1r = 0

Solving
4 + -1r = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1r = 0 + -4
-1r = 0 + -4

Combine like terms: 0 + -4 = -4
-1r = -4

Add 'r' to each side of the equation.
-1r + r = -4 + r

Combine like terms: -1r + r = 0
0 = -4 + r

Simplifying
0 = -4 + r

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}